Fluid Flow
CONTINUITY EQUATION
This equation tells us that the pressure exerted by a column of water is directly proportional to
the height of the column and the density of the water and is independent of the cross-sectional
area of the column. The pressure thirty feet below the surface of a one inch diameter standpipe
is the same as the pressure thirty feet below the surface of a large lake.
Example 1:
If the tank in Figure 1 is filled with water that has a density of 62.4 lbm/ft3, calculate the
pressures at depths of 10, 20, and 30 feet.
Solution:
P
r h g
gc
P
10 feet
62.4lbm
ft3
10 ft
32.17
ft
sec2
32.17
lbm ft
lbf sec2
624lbf
ft2
1 ft2
144 in2
4.33
lbf
in2
P
20 feet
62.4lbm
ft3
20 ft
32.17
ft
sec2
32.17
lbm ft
lbf sec2
1248lbf
ft2
1 ft2
144 in2
8.67
lbf
in2
Rev. 0
Page 5
HT-03